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Finding the Fourth Proportional to 2,741.86, 4,111.90 and 892.49

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Solution

The fourth proportional to 2,741.86, 4,111.90 and 892.49 is: 1,338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.86 : 4,111.90 = 892.49 : x
  2. Step 2: Convert to fraction form
    2,741.86/4,111.90 = 892.49/x
  3. Step 3: Cross multiply
    2,741.86x = 4,111.90 × 892.49
  4. Step 4: Simplify right side
    2,741.86x = 3,669,806.84
  5. Step 5: Solve for x
    x = 3,669,806.84/2,741.86
  6. Step 6: Final answer
    x = 1,338.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.